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Finding the Fourth Proportional to 38,877.12, 53,658 and 22,960.80

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Solution

The fourth proportional to 38,877.12, 53,658 and 22,960.80 is: 31,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,877.12 : 53,658 = 22,960.80 : x
  2. Step 2: Convert to fraction form
    38,877.12/53,658 = 22,960.80/x
  3. Step 3: Cross multiply
    38,877.12x = 53,658 × 22,960.80
  4. Step 4: Simplify right side
    38,877.12x = 1,232,030,606.40
  5. Step 5: Solve for x
    x = 1,232,030,606.40/38,877.12
  6. Step 6: Final answer
    x = 31,690.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.